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805021440 = 2835297229
BaseRepresentation
bin101111111110111…
…010011100000000
32002002210022210220
4233332322130000
53122041141230
6211514223040
725643366166
oct5776723400
92062708726
10805021440
11383460583
121a5724a80
13caa20662
1478cb5236
154aa19d10
hex2ffba700

805021440 has 144 divisors (see below), whose sum is σ = 2660061600. Its totient is φ = 207241216.

The previous prime is 805021421. The next prime is 805021457. The reversal of 805021440 is 44120508.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 805021440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107746 + ... + 114974.

It is an arithmetic number, because the mean of its divisors is an integer number (18472650).

Almost surely, 2805021440 is an apocalyptic number.

805021440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330030800).

805021440 is an abundant number, since it is smaller than the sum of its proper divisors (1855040160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

805021440 is a wasteful number, since it uses less digits than its factorization.

805021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7282 (or 7268 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 805021440 is about 28372.8997460605. The cubic root of 805021440 is about 930.2560053687.

Adding to 805021440 its reverse (44120508), we get a palindrome (849141948).

The spelling of 805021440 in words is "eight hundred five million, twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 580 640 696 768 870 928 960 1160 1280 1392 1740 1856 1920 2320 2784 3480 3712 3840 4640 5568 6960 7229 7424 9280 11136 13920 14458 18560 21687 22272 27840 28916 36145 37120 43374 55680 57832 72290 86748 108435 111360 115664 144580 173496 209641 216870 231328 289160 346992 419282 433740 462656 578320 628923 693984 838564 867480 925312 1048205 1156640 1257846 1387968 1677128 1734960 1850624 2096410 2313280 2515692 2775936 3144615 3354256 3469920 4192820 4626560 5031384 5551872 6289230 6708512 6939840 8385640 9253120 10062768 12578460 13417024 13879680 16771280 20125536 25156920 26834048 27759360 33542560 40251072 50313840 53668096 67085120 80502144 100627680 134170240 161004288 201255360 268340480 402510720 805021440